## What is the addition rule for vectors?

The triangle law of the addition of vectors states that two vectors can be added together by placing them together in such a way that the first vector’s head joins the tail of the second vector. Thus, by joining the first vector’s tail to the head of the second vector, we can obtain the resultant sum vector.

To add or subtract two vectors, add or subtract the corresponding components. Let →u=⟨u1,u2⟩ and →v=⟨v1,v2⟩ be two vectors. The sum of two or more vectors is called the resultant. The resultant of two vectors can be found using either the parallelogram method or the triangle method .

What are the three methods of vector addition?

Three methods are parallelogram addition, triangular addition and direct addition. The statement says that if two vectors are head to head or tail to tail or we can say they are adjacent side of parallelogram.

### What is vector addition example?

To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here’s a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There’s also a nice graphical way to add vectors, and the two ways will always result in the same vector.

### How many types of vector addition are there?

Ans: Two types of vector addition are- Parallelogram law of vector addition and triangular law of vector addition.

What is tail to tail method?

In this method we draw the two vectors with their tails on the origin. Then we draw a line parallel to the first vector from the head of the second vector and vice versa. Where the parallel lines intersect is the head of the resultant vector that will also start at the origin.

#### What is the resultant of two vectors?

The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R.